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Finding the Fourth Proportional to 11,778.55, 16,250.31 and 7,300.67

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Solution

The fourth proportional to 11,778.55, 16,250.31 and 7,300.67 is: 10,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.55 : 16,250.31 = 7,300.67 : x
  2. Step 2: Convert to fraction form
    11,778.55/16,250.31 = 7,300.67/x
  3. Step 3: Cross multiply
    11,778.55x = 16,250.31 × 7,300.67
  4. Step 4: Simplify right side
    11,778.55x = 118,638,069.46
  5. Step 5: Solve for x
    x = 118,638,069.46/11,778.55
  6. Step 6: Final answer
    x = 10,072.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.